What is the value of (706.32)/(sin(45)1.5+cos(45)0.5) ?

The value of (706.32)/(sin(45)1.5+cos(45)0.5) is (8829sqrt(2))/(25)

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(706.32)/(sin(45)1.5+cos(45)0.5)

\frac{706.32}{sin ( 4 5 ^{\circ} ) 1.5 + cos ( 4 5 ^{\circ} ) 0.5}

\frac{8829 2}{25}

Solution steps

\frac{706.32}{sin ( 4 5 ^{\circ} ) \cdot 1.5 + cos ( 4 5 ^{\circ} ) \cdot 0.5}

= \frac{\frac{17658}{25}}{sin ( 4 5 ^{\circ} ) \frac{3}{2} + cos ( 4 5 ^{\circ} ) \frac{1}{2}}

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

= \frac{\frac{17658}{25}}{\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2}}

Simplify

\frac{\frac{17658}{25}}{\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2}} : \frac{8829 2}{25}

= \frac{8829 2}{25}

2 (cos^{2} (1 5^{\circ}) - sin^{2} (1 5^{\circ}))

- 4 sin (\frac{3 π}{4})

tan (- \frac{13 π}{12})

cosh (9)

tanh (2)

What is the value of (706.32)/(sin(45)1.5+cos(45)0.5) ?
The value of (706.32)/(sin(45)1.5+cos(45)0.5) is (8829sqrt(2))/(25)